Period of physical pendulum

A physical pendulum is a pendulum with an arbitrary distribution of mass that oscillates about a given pivot point. The period of its oscillations depends on its rotational inertia, mass and the distance between the pivot and the center of mass of the pendulum.

Links:

1. Wikipedia.

period

The period of the physical pendulum.

Symbol:

T

Latex:

\(T\)

Dimension:

time

mass

The mass of the pendulum.

Symbol:

m

Latex:

\(m\)

Dimension:

mass

rotational_inertia

The rotational_inertia of the pendulum.

Symbol:

I

Latex:

\(I\)

Dimension:

length**2*mass

distance_to_pivot

The euclidean_distance between the pivot and the pendulum’s center of mass.

Symbol:

d

Latex:

\(d\)

Dimension:

length

law

T = 2 * pi * sqrt(I / (m * g * d))

Latex:

\[T = 2 \pi \sqrt{\frac{I}{m g d}}\]